Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? identify its value.

minimum value of function is   .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = .

Where , b represents the coefficient of x and a represents the coefficient of .

here, a = 2 , b = -6

Thus =

                                            =  

So, at x =    minimum value will occur and which equals

y = 2× - + 9 =   .

Thus , minimum value of function is   .

answer: what statements

step-by-step explanation if you write the statements down then i could you.

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5